Meanwhile, Trump's transition team announced Thursday that former New York City Mayor Rudy Giuliani removed his name from consideration for a position in the new administration during a meeting held on Nov.29. Giuliani will remain on Trump's transition team as a vice chairman.

"Rudy Giuliani is an extraordinarily talented and patriotic American. I will always be appreciative of his 24/7 dedication to our campaign after I won the primaries and for his extremely wise counsel," Trump said in a statement, adding that he can see an important place for him in the administration at a later date."

It is unclear if Cohn, 54, will accept the post, but he reportedly had discussions late last month about leaving Goldman where he is president and chief operating officer.

McMorris Rodgers is the highest-ranking Republican woman in the U.S. House of Representatives. She serves as chair of the House Republican Conference and earlier this month was appointed to serve as a vice chair of Trump's transition team.